What is the Greatest Common Factor of 79424 and 79428?

Greatest common factor (GCF) of 79424 and 79428 is 4.

GCF(79424,79428) = 4

We will now calculate the prime factors of 79424 and 79428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79424 and 79428.

How to find the GCF of 79424 and 79428?

We will first find the prime factorization of 79424 and 79428. After we will calculate the factors of 79424 and 79428 and find the biggest common factor number .

Step-1: Prime Factorization of 79424

Prime factors of 79424 are 2, 17, 73. Prime factorization of 79424 in exponential form is:

79424 = 2⁶ × 17¹ × 73¹

Step-2: Prime Factorization of 79428

Prime factors of 79428 are 2, 3, 6619. Prime factorization of 79428 in exponential form is:

79428 = 2² × 3¹ × 6619¹

Step-3: Factors of 79424

List of positive integer factors of 79424 that divides 79424 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 73, 136, 146, 272, 292, 544, 584, 1088, 1168, 1241, 2336, 2482, 4672, 4964, 9928, 19856, 39712

Step-4: Factors of 79428

List of positive integer factors of 79428 that divides 79424 without a remainder.

1, 2, 3, 4, 6, 12, 6619, 13238, 19857, 26476, 39714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79424 and 79428. The biggest common factor number is the GCF number.
So the greatest common factor 79424 and 79428 is 4.

Also check out the Least Common Multiple of 79424 and 79428